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Finding the Third Proportional to 193,671 and 419,509.13

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Solution

The third proportional to 193,671 and 419,509.13 is: 908,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,671 : 419,509.13 = 419,509.13 : x
  2. Step 2: Convert to fraction form
    193,671/419,509.13 = 419,509.13/x
  3. Step 3: Cross multiply
    193,671x = 419,509.13 × 419,509.13
  4. Step 4: Simplify right side
    193,671x = 175,987,905,958.27
  5. Step 5: Solve for x
    x = 175,987,905,958.27/193,671
  6. Step 6: Final answer
    x = 908,695.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.